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Finding the Third Proportional to 310,946 and 475,432

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Solution

The third proportional to 310,946 and 475,432 is: 726,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,946 : 475,432 = 475,432 : x
  2. Step 2: Convert to fraction form
    310,946/475,432 = 475,432/x
  3. Step 3: Cross multiply
    310,946x = 475,432 × 475,432
  4. Step 4: Simplify right side
    310,946x = 226,035,586,624
  5. Step 5: Solve for x
    x = 226,035,586,624/310,946
  6. Step 6: Final answer
    x = 726,928.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.